1 1 M ay 2 00 4 EXTENSION DIMENSION AND QUASI - FINITE CW - COMPLEXES
نویسنده
چکیده
We extend the definition of quasi-finite complexes by considering not necessarily countable complexes. We provide a characterization of quasi-finite complexes in terms of L-invertible maps and dimensional properties of compactifications. Several results related to the class of quasi-finite complexes are established, such as completion of metrizable spaces, existence of universal spaces and a version of the factorization theorem. Further, we extend the definition of UV (L)-spaces on non-compact case and show that some properties of UV (n)-spaces and UV (n)-maps remain valid, respectively, for UV (L)-spaces and UV (L)-maps.
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